As a ratio, 5:86 represents students to teachers
We can set up the equation as 5/86=x/9460
Multiply 9460 to both sides
5x9460/86=x
47300/86=x
x=550
There are 550 professors
Answer:
Option 2: 
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,
Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,
Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
B. y = -x - 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.
Plug the slope and the given point into y = mx + b to find b:
y = mx + b
3 = -1(-4) + b
3 = 4 + b
-1 = b
Then, plug this and the slope into y = mx + b
y = -x - 1
So, the correct answer is B, y = -x - 1
One foot is defined as 0.3048 meters.
Answer:On January 7, 1755, Georgia officially ceased to be a proprietary colony and became a crown colony. From 1732 until 1758, the minor civil divisions were districts and towns. In 1758, without Indian permission, the Province of Georgia was divided into eight parishes by the Act of the Assembly of Georgia on March 15.
Step-by-step explanation:
